Find the product. Simplify your answer. -2j(-4j^2 + 5) ______

Distribute -2j: We need to distribute -2j to both terms inside the parentheses: -4j^2 and +5. -2j(-4j^2 + 5) = -2j(-4j^2) + -2j(5)Simplify -4j^2: Now, simplify -2j(-4j^2). -2j(-4j^2) = (-2 * -4) * (j * j^2) = 8j^3Simplify -2j(5): Next, simplify -2j(5). -2j(5) = -2 * 5 * j = -10jCombine results: Combine the results from the previous steps to get the final simplified expression. -2j(-4j^2 + 5) = 8j^3 - 10j

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Find the product. Simplify your answer. $\newline$ $-2j(-4j^2 + 5)$

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Algebra 1

Multiply a polynomial by a monomial

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Q. Find the product. Simplify your answer.

\newline

-2j(-4j^2 + 5)

Distribute $-2j$ : We need to distribute $-2j$ to both terms inside the parentheses: $-4j^2$ and $+5$ . $\newline$ $-2j(-4j^2 + 5) = -2j(-4j^2) + -2j(5)$
Simplify $-4j^2$ : Now, simplify $-2j(-4j^2)$ . $-2j(-4j^2) = (-2 \times -4) \times (j \times j^2) = 8j^3$
Simplify $-2j(5)$ : Next, simplify $-2j(5)$ . $\newline$ $-2j(5) = -2 \times 5 \times j = -10j$
Combine results: Combine the results from the previous steps to get the final simplified expression. $\newline$ $-2j(-4j^2 + 5) = 8j^3 - 10j$